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Simplifying -7(4p + 3) + -39 = 4(2p + 3) Reorder the terms: -7(3 + 4p) + -39 = 4(2p + 3) (3 * -7 + 4p * -7) + -39 = 4(2p + 3) (-21 + -28p) + -39 = 4(2p + 3) Reorder the terms: -21 + -39 + -28p = 4(2p + 3) Combine like terms: -21 + -39 = -60 -60 + -28p = 4(2p + 3) Reorder the terms: -60 + -28p = 4(3 + 2p) -60 + -28p = (3 * 4 + 2p * 4) -60 + -28p = (12 + 8p) Solving -60 + -28p = 12 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -60 + -28p + -8p = 12 + 8p + -8p Combine like terms: -28p + -8p = -36p -60 + -36p = 12 + 8p + -8p Combine like terms: 8p + -8p = 0 -60 + -36p = 12 + 0 -60 + -36p = 12 Add '60' to each side of the equation. -60 + 60 + -36p = 12 + 60 Combine like terms: -60 + 60 = 0 0 + -36p = 12 + 60 -36p = 12 + 60 Combine like terms: 12 + 60 = 72 -36p = 72 Divide each side by '-36'. p = -2 Simplifying p = -2
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